The Agriculture Department of a certain country reported that the average coffee consumption in the country, in 2014, was 26.0 gallons per person. A recently taken random sample of 400 residents of the country found a mean coffee consumption of 26.7 gallons with a sample standard deviation of 6.8 gallons. Assuming that the population of coffee consumption is normally distributed, test, at the 10% level of significance, whether the mean coffee consumption is different from the reported 26.0 gallons, by answering the following:

(a) State the null and alternative hypotheses for the test.

(b) Calculate the test statistics.

(c) Determine the rejection region(s) for the test.

(d) State the conclusion for the test giving reasons for your answer.

**Subject Mathematics General Statistics**